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2 years ago

What is the product of 2+i and 3-2i?

Mathematics

1 answer:

Darina [25.2K]2 years ago

5 0

Answer:

8-i

Step-by-step explanation:

(2+i)(3-2i)

6-4i+3i-2(-1)

6-i+2

8-i

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3 years ago

Read 2 more answers

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

Lubov Fominskaja [6]

Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

Find x:

2x + 10 + x + 8 = 90
3x + 18 = 90
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Find Y:

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3 years ago

Which equation has no real solutions?

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3 years ago

Given a 5 liter jar and a 3 liter jar and a unlimited supply of water, how do you measure out 4 liter exactly

andre [41]

Answer:

Given:

5 liter Jar

3 liter jar

Unlimited supply of water.

To measure out 4 liters exactly.

Steps to be carries out to measure out 4 liters of water exactly.

Water content: 3 liter jar = Empty , 5 liter jar = Empty

1) Fill the 3 liter jar completely with water.

3 liter jar = 3 liter , 5 liter jar = Empty

2) Empty the filled 3 liter jar of water by pouring it out into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 3 liter

3) Again fill the empty 3 liter jar completely.

Water content: 3 liter jar = 3 liter , 5 liter jar = 3 liter

4) Pour water from 3 liter jar into 5 liter jar until it is completely filled.

Water content: 3 liter jar = 1 liter , 5 liter jar = 5 liter

5) Empty the 5 liter jar completely.

Water content: 3 liter jar = 1 liter , 5 liter jar = Empty

6) Empty the 3 liter jar by pouring the water into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 1 liter

7) Fill the 3 liter jar completely with water.

Water content: 3 liter jar = 3 liter , 5 liter jar = 1 liter

8) Empty the 3 liter jar by pouring it into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 4 liter

Now, we have exactly 4 liters of water in the 5 liter jar.

7 0

3 years ago

Help would be much appreciated! :)

Tju [1.3M]

Answer:

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long Division
Synthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}$

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend: $\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}$
Multiply quotient b and divisor, then subtract from new dividend: $\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}$
Multiply quotient c and divisor, then subtract from new dividend: $\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}$
Write remainder: $\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}$

Please excuse the bad handwriting.

4 0

2 years ago